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Finding the Fourth Proportional to 871.99, 1,307.67 and 255.49

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Solution

The fourth proportional to 871.99, 1,307.67 and 255.49 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.99 : 1,307.67 = 255.49 : x
  2. Step 2: Convert to fraction form
    871.99/1,307.67 = 255.49/x
  3. Step 3: Cross multiply
    871.99x = 1,307.67 × 255.49
  4. Step 4: Simplify right side
    871.99x = 334,096.61
  5. Step 5: Solve for x
    x = 334,096.61/871.99
  6. Step 6: Final answer
    x = 383.14

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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.