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Finding the Fourth Proportional to 452.37, 624.25 and 253.20

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Solution

The fourth proportional to 452.37, 624.25 and 253.20 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.37 : 624.25 = 253.20 : x
  2. Step 2: Convert to fraction form
    452.37/624.25 = 253.20/x
  3. Step 3: Cross multiply
    452.37x = 624.25 × 253.20
  4. Step 4: Simplify right side
    452.37x = 158,059.47
  5. Step 5: Solve for x
    x = 158,059.47/452.37
  6. Step 6: Final answer
    x = 349.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.