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Finding the Fourth Proportional to 261.38, 390.03 and 234.05

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Solution

The fourth proportional to 261.38, 390.03 and 234.05 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 390.03 = 234.05 : x
  2. Step 2: Convert to fraction form
    261.38/390.03 = 234.05/x
  3. Step 3: Cross multiply
    261.38x = 390.03 × 234.05
  4. Step 4: Simplify right side
    261.38x = 91,284.57
  5. Step 5: Solve for x
    x = 91,284.57/261.38
  6. Step 6: Final answer
    x = 349.25

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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.