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Finding the Fourth Proportional to 406.16, 560.91 and 258.86

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Solution

The fourth proportional to 406.16, 560.91 and 258.86 is: 357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 560.91 = 258.86 : x
  2. Step 2: Convert to fraction form
    406.16/560.91 = 258.86/x
  3. Step 3: Cross multiply
    406.16x = 560.91 × 258.86
  4. Step 4: Simplify right side
    406.16x = 145,197.16
  5. Step 5: Solve for x
    x = 145,197.16/406.16
  6. Step 6: Final answer
    x = 357.49

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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.