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Finding the Fourth Proportional to 452.14, 624.34 and 312.22

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Solution

The fourth proportional to 452.14, 624.34 and 312.22 is: 431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.14 : 624.34 = 312.22 : x
  2. Step 2: Convert to fraction form
    452.14/624.34 = 312.22/x
  3. Step 3: Cross multiply
    452.14x = 624.34 × 312.22
  4. Step 4: Simplify right side
    452.14x = 194,931.43
  5. Step 5: Solve for x
    x = 194,931.43/452.14
  6. Step 6: Final answer
    x = 431.13

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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.