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Finding the Fourth Proportional to 931.29, 1,397.15 and 281.98

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Solution

The fourth proportional to 931.29, 1,397.15 and 281.98 is: 423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.29 : 1,397.15 = 281.98 : x
  2. Step 2: Convert to fraction form
    931.29/1,397.15 = 281.98/x
  3. Step 3: Cross multiply
    931.29x = 1,397.15 × 281.98
  4. Step 4: Simplify right side
    931.29x = 393,968.36
  5. Step 5: Solve for x
    x = 393,968.36/931.29
  6. Step 6: Final answer
    x = 423.04

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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.