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Finding the Fourth Proportional to 385.25, 531.48 and 296.58

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Solution

The fourth proportional to 385.25, 531.48 and 296.58 is: 409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.25 : 531.48 = 296.58 : x
  2. Step 2: Convert to fraction form
    385.25/531.48 = 296.58/x
  3. Step 3: Cross multiply
    385.25x = 531.48 × 296.58
  4. Step 4: Simplify right side
    385.25x = 157,626.34
  5. Step 5: Solve for x
    x = 157,626.34/385.25
  6. Step 6: Final answer
    x = 409.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.