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Finding the Fourth Proportional to 938.48, 1,407.76 and 361.44

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Solution

The fourth proportional to 938.48, 1,407.76 and 361.44 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.48 : 1,407.76 = 361.44 : x
  2. Step 2: Convert to fraction form
    938.48/1,407.76 = 361.44/x
  3. Step 3: Cross multiply
    938.48x = 1,407.76 × 361.44
  4. Step 4: Simplify right side
    938.48x = 508,820.77
  5. Step 5: Solve for x
    x = 508,820.77/938.48
  6. Step 6: Final answer
    x = 542.18

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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.