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Finding the Fourth Proportional to 377.55, 565.60 and 240.30

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Solution

The fourth proportional to 377.55, 565.60 and 240.30 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 565.60 = 240.30 : x
  2. Step 2: Convert to fraction form
    377.55/565.60 = 240.30/x
  3. Step 3: Cross multiply
    377.55x = 565.60 × 240.30
  4. Step 4: Simplify right side
    377.55x = 135,913.68
  5. Step 5: Solve for x
    x = 135,913.68/377.55
  6. Step 6: Final answer
    x = 359.99

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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.