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Finding the Fourth Proportional to 261.07, 390.24 and 237.84

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Solution

The fourth proportional to 261.07, 390.24 and 237.84 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.07 : 390.24 = 237.84 : x
  2. Step 2: Convert to fraction form
    261.07/390.24 = 237.84/x
  3. Step 3: Cross multiply
    261.07x = 390.24 × 237.84
  4. Step 4: Simplify right side
    261.07x = 92,813.89
  5. Step 5: Solve for x
    x = 92,813.89/261.07
  6. Step 6: Final answer
    x = 355.51

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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.