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Finding the Fourth Proportional to 406.07, 560.27 and 258.65

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Solution

The fourth proportional to 406.07, 560.27 and 258.65 is: 356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 560.27 = 258.65 : x
  2. Step 2: Convert to fraction form
    406.07/560.27 = 258.65/x
  3. Step 3: Cross multiply
    406.07x = 560.27 × 258.65
  4. Step 4: Simplify right side
    406.07x = 144,909.74
  5. Step 5: Solve for x
    x = 144,909.74/406.07
  6. Step 6: Final answer
    x = 356.86

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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.