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Finding the Fourth Proportional to 370.52, 555.22 and 177.88

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Solution

The fourth proportional to 370.52, 555.22 and 177.88 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.52 : 555.22 = 177.88 : x
  2. Step 2: Convert to fraction form
    370.52/555.22 = 177.88/x
  3. Step 3: Cross multiply
    370.52x = 555.22 × 177.88
  4. Step 4: Simplify right side
    370.52x = 98,762.53
  5. Step 5: Solve for x
    x = 98,762.53/370.52
  6. Step 6: Final answer
    x = 266.55

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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.