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Finding the Fourth Proportional to 322.35, 482.72 and 177.77

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Solution

The fourth proportional to 322.35, 482.72 and 177.77 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.35 : 482.72 = 177.77 : x
  2. Step 2: Convert to fraction form
    322.35/482.72 = 177.77/x
  3. Step 3: Cross multiply
    322.35x = 482.72 × 177.77
  4. Step 4: Simplify right side
    322.35x = 85,809.83
  5. Step 5: Solve for x
    x = 85,809.83/322.35
  6. Step 6: Final answer
    x = 266.20

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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.