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Finding the Fourth Proportional to 452.55, 624.47 and 266.03

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Solution

The fourth proportional to 452.55, 624.47 and 266.03 is: 367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.55 : 624.47 = 266.03 : x
  2. Step 2: Convert to fraction form
    452.55/624.47 = 266.03/x
  3. Step 3: Cross multiply
    452.55x = 624.47 × 266.03
  4. Step 4: Simplify right side
    452.55x = 166,123.30
  5. Step 5: Solve for x
    x = 166,123.30/452.55
  6. Step 6: Final answer
    x = 367.08

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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.