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Finding the Fourth Proportional to 261.11, 389.29 and 257.87

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Solution

The fourth proportional to 261.11, 389.29 and 257.87 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.11 : 389.29 = 257.87 : x
  2. Step 2: Convert to fraction form
    261.11/389.29 = 257.87/x
  3. Step 3: Cross multiply
    261.11x = 389.29 × 257.87
  4. Step 4: Simplify right side
    261.11x = 100,384.92
  5. Step 5: Solve for x
    x = 100,384.92/261.11
  6. Step 6: Final answer
    x = 384.45

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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.