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Finding the Fourth Proportional to 411.77, 616.28 and 257.16

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Solution

The fourth proportional to 411.77, 616.28 and 257.16 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.77 : 616.28 = 257.16 : x
  2. Step 2: Convert to fraction form
    411.77/616.28 = 257.16/x
  3. Step 3: Cross multiply
    411.77x = 616.28 × 257.16
  4. Step 4: Simplify right side
    411.77x = 158,482.56
  5. Step 5: Solve for x
    x = 158,482.56/411.77
  6. Step 6: Final answer
    x = 384.88

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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.