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Finding the Fourth Proportional to 651.14, 977.18 and 255.87

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Solution

The fourth proportional to 651.14, 977.18 and 255.87 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 977.18 = 255.87 : x
  2. Step 2: Convert to fraction form
    651.14/977.18 = 255.87/x
  3. Step 3: Cross multiply
    651.14x = 977.18 × 255.87
  4. Step 4: Simplify right side
    651.14x = 250,031.05
  5. Step 5: Solve for x
    x = 250,031.05/651.14
  6. Step 6: Final answer
    x = 383.99

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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.