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Finding the Fourth Proportional to 406.10, 560.68 and 256.88

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Solution

The fourth proportional to 406.10, 560.68 and 256.88 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 560.68 = 256.88 : x
  2. Step 2: Convert to fraction form
    406.10/560.68 = 256.88/x
  3. Step 3: Cross multiply
    406.10x = 560.68 × 256.88
  4. Step 4: Simplify right side
    406.10x = 144,027.48
  5. Step 5: Solve for x
    x = 144,027.48/406.10
  6. Step 6: Final answer
    x = 354.66

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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.