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Finding the Fourth Proportional to 561.02, 841.32 and 252.86

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Solution

The fourth proportional to 561.02, 841.32 and 252.86 is: 379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.02 : 841.32 = 252.86 : x
  2. Step 2: Convert to fraction form
    561.02/841.32 = 252.86/x
  3. Step 3: Cross multiply
    561.02x = 841.32 × 252.86
  4. Step 4: Simplify right side
    561.02x = 212,736.18
  5. Step 5: Solve for x
    x = 212,736.18/561.02
  6. Step 6: Final answer
    x = 379.20

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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.