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Finding the Fourth Proportional to 261.36, 390.15 and 242.31

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Solution

The fourth proportional to 261.36, 390.15 and 242.31 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 390.15 = 242.31 : x
  2. Step 2: Convert to fraction form
    261.36/390.15 = 242.31/x
  3. Step 3: Cross multiply
    261.36x = 390.15 × 242.31
  4. Step 4: Simplify right side
    261.36x = 94,537.25
  5. Step 5: Solve for x
    x = 94,537.25/261.36
  6. Step 6: Final answer
    x = 361.71

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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.