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Finding the Fourth Proportional to 452.75, 624.80 and 266.30

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Solution

The fourth proportional to 452.75, 624.80 and 266.30 is: 367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.75 : 624.80 = 266.30 : x
  2. Step 2: Convert to fraction form
    452.75/624.80 = 266.30/x
  3. Step 3: Cross multiply
    452.75x = 624.80 × 266.30
  4. Step 4: Simplify right side
    452.75x = 166,384.24
  5. Step 5: Solve for x
    x = 166,384.24/452.75
  6. Step 6: Final answer
    x = 367.50

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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.