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Finding the Fourth Proportional to 377.39, 565.78 and 347.02

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Solution

The fourth proportional to 377.39, 565.78 and 347.02 is: 520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.39 : 565.78 = 347.02 : x
  2. Step 2: Convert to fraction form
    377.39/565.78 = 347.02/x
  3. Step 3: Cross multiply
    377.39x = 565.78 × 347.02
  4. Step 4: Simplify right side
    377.39x = 196,332.41
  5. Step 5: Solve for x
    x = 196,332.41/377.39
  6. Step 6: Final answer
    x = 520.24

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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.