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Finding the Fourth Proportional to 406.37, 560.77 and 240.68

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Solution

The fourth proportional to 406.37, 560.77 and 240.68 is: 332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.37 : 560.77 = 240.68 : x
  2. Step 2: Convert to fraction form
    406.37/560.77 = 240.68/x
  3. Step 3: Cross multiply
    406.37x = 560.77 × 240.68
  4. Step 4: Simplify right side
    406.37x = 134,962.72
  5. Step 5: Solve for x
    x = 134,962.72/406.37
  6. Step 6: Final answer
    x = 332.12

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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.