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Finding the Fourth Proportional to 261.94, 390.98 and 240.30

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Solution

The fourth proportional to 261.94, 390.98 and 240.30 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.94 : 390.98 = 240.30 : x
  2. Step 2: Convert to fraction form
    261.94/390.98 = 240.30/x
  3. Step 3: Cross multiply
    261.94x = 390.98 × 240.30
  4. Step 4: Simplify right side
    261.94x = 93,952.49
  5. Step 5: Solve for x
    x = 93,952.49/261.94
  6. Step 6: Final answer
    x = 358.68

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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.