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Finding the Fourth Proportional to 916.25, 1,374.38 and 232.25

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Solution

The fourth proportional to 916.25, 1,374.38 and 232.25 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.25 : 1,374.38 = 232.25 : x
  2. Step 2: Convert to fraction form
    916.25/1,374.38 = 232.25/x
  3. Step 3: Cross multiply
    916.25x = 1,374.38 × 232.25
  4. Step 4: Simplify right side
    916.25x = 319,199.76
  5. Step 5: Solve for x
    x = 319,199.76/916.25
  6. Step 6: Final answer
    x = 348.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.