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Finding the Fourth Proportional to 358.13, 534.92 and 281.18

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Solution

The fourth proportional to 358.13, 534.92 and 281.18 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 534.92 = 281.18 : x
  2. Step 2: Convert to fraction form
    358.13/534.92 = 281.18/x
  3. Step 3: Cross multiply
    358.13x = 534.92 × 281.18
  4. Step 4: Simplify right side
    358.13x = 150,408.81
  5. Step 5: Solve for x
    x = 150,408.81/358.13
  6. Step 6: Final answer
    x = 419.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.