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Finding the Fourth Proportional to 492.31, 736.65 and 297.40

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Solution

The fourth proportional to 492.31, 736.65 and 297.40 is: 445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.31 : 736.65 = 297.40 : x
  2. Step 2: Convert to fraction form
    492.31/736.65 = 297.40/x
  3. Step 3: Cross multiply
    492.31x = 736.65 × 297.40
  4. Step 4: Simplify right side
    492.31x = 219,079.71
  5. Step 5: Solve for x
    x = 219,079.71/492.31
  6. Step 6: Final answer
    x = 445.00

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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.