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Finding the Fourth Proportional to 384.54, 530.19 and 280.86

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Solution

The fourth proportional to 384.54, 530.19 and 280.86 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 530.19 = 280.86 : x
  2. Step 2: Convert to fraction form
    384.54/530.19 = 280.86/x
  3. Step 3: Cross multiply
    384.54x = 530.19 × 280.86
  4. Step 4: Simplify right side
    384.54x = 148,909.16
  5. Step 5: Solve for x
    x = 148,909.16/384.54
  6. Step 6: Final answer
    x = 387.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.