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Finding the Fourth Proportional to 421.53, 631.66 and 177.99

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Solution

The fourth proportional to 421.53, 631.66 and 177.99 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.53 : 631.66 = 177.99 : x
  2. Step 2: Convert to fraction form
    421.53/631.66 = 177.99/x
  3. Step 3: Cross multiply
    421.53x = 631.66 × 177.99
  4. Step 4: Simplify right side
    421.53x = 112,429.16
  5. Step 5: Solve for x
    x = 112,429.16/421.53
  6. Step 6: Final answer
    x = 266.72

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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.