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Finding the Fourth Proportional to 307.77, 459.40 and 271.32

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Solution

The fourth proportional to 307.77, 459.40 and 271.32 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.77 : 459.40 = 271.32 : x
  2. Step 2: Convert to fraction form
    307.77/459.40 = 271.32/x
  3. Step 3: Cross multiply
    307.77x = 459.40 × 271.32
  4. Step 4: Simplify right side
    307.77x = 124,644.41
  5. Step 5: Solve for x
    x = 124,644.41/307.77
  6. Step 6: Final answer
    x = 404.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.