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Finding the Fourth Proportional to 261.73, 390.70 and 242.73

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Solution

The fourth proportional to 261.73, 390.70 and 242.73 is: 362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.73 : 390.70 = 242.73 : x
  2. Step 2: Convert to fraction form
    261.73/390.70 = 242.73/x
  3. Step 3: Cross multiply
    261.73x = 390.70 × 242.73
  4. Step 4: Simplify right side
    261.73x = 94,831.44
  5. Step 5: Solve for x
    x = 94,831.44/261.73
  6. Step 6: Final answer
    x = 362.33

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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.