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Finding the Fourth Proportional to 261.95, 390.79 and 240.78

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Solution

The fourth proportional to 261.95, 390.79 and 240.78 is: 359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.95 : 390.79 = 240.78 : x
  2. Step 2: Convert to fraction form
    261.95/390.79 = 240.78/x
  3. Step 3: Cross multiply
    261.95x = 390.79 × 240.78
  4. Step 4: Simplify right side
    261.95x = 94,094.42
  5. Step 5: Solve for x
    x = 94,094.42/261.95
  6. Step 6: Final answer
    x = 359.21

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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.