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Finding the Fourth Proportional to 421.91, 632.71 and 202.53

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Solution

The fourth proportional to 421.91, 632.71 and 202.53 is: 303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.91 : 632.71 = 202.53 : x
  2. Step 2: Convert to fraction form
    421.91/632.71 = 202.53/x
  3. Step 3: Cross multiply
    421.91x = 632.71 × 202.53
  4. Step 4: Simplify right side
    421.91x = 128,140.04
  5. Step 5: Solve for x
    x = 128,140.04/421.91
  6. Step 6: Final answer
    x = 303.72

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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.