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Finding the Fourth Proportional to 460.16, 688.89 and 297.38

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Solution

The fourth proportional to 460.16, 688.89 and 297.38 is: 445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 688.89 = 297.38 : x
  2. Step 2: Convert to fraction form
    460.16/688.89 = 297.38/x
  3. Step 3: Cross multiply
    460.16x = 688.89 × 297.38
  4. Step 4: Simplify right side
    460.16x = 204,862.11
  5. Step 5: Solve for x
    x = 204,862.11/460.16
  6. Step 6: Final answer
    x = 445.20

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