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Finding the Fourth Proportional to 345.55, 477.05 and 252.20

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Solution

The fourth proportional to 345.55, 477.05 and 252.20 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.55 : 477.05 = 252.20 : x
  2. Step 2: Convert to fraction form
    345.55/477.05 = 252.20/x
  3. Step 3: Cross multiply
    345.55x = 477.05 × 252.20
  4. Step 4: Simplify right side
    345.55x = 120,312.01
  5. Step 5: Solve for x
    x = 120,312.01/345.55
  6. Step 6: Final answer
    x = 348.18

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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.