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Finding the Fourth Proportional to 430.86, 646.80 and 225.53

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Solution

The fourth proportional to 430.86, 646.80 and 225.53 is: 338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 646.80 = 225.53 : x
  2. Step 2: Convert to fraction form
    430.86/646.80 = 225.53/x
  3. Step 3: Cross multiply
    430.86x = 646.80 × 225.53
  4. Step 4: Simplify right side
    430.86x = 145,872.42
  5. Step 5: Solve for x
    x = 145,872.42/430.86
  6. Step 6: Final answer
    x = 338.56

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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.