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Finding the Fourth Proportional to 292.25, 438.26 and 97.25

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Solution

The fourth proportional to 292.25, 438.26 and 97.25 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.25 : 438.26 = 97.25 : x
  2. Step 2: Convert to fraction form
    292.25/438.26 = 97.25/x
  3. Step 3: Cross multiply
    292.25x = 438.26 × 97.25
  4. Step 4: Simplify right side
    292.25x = 42,618.11
  5. Step 5: Solve for x
    x = 42,618.11/292.25
  6. Step 6: Final answer
    x = 145.83

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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.