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Finding the Fourth Proportional to 434.43, 599.36 and 247.78

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Solution

The fourth proportional to 434.43, 599.36 and 247.78 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.43 : 599.36 = 247.78 : x
  2. Step 2: Convert to fraction form
    434.43/599.36 = 247.78/x
  3. Step 3: Cross multiply
    434.43x = 599.36 × 247.78
  4. Step 4: Simplify right side
    434.43x = 148,509.42
  5. Step 5: Solve for x
    x = 148,509.42/434.43
  6. Step 6: Final answer
    x = 341.85

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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.