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Finding the Fourth Proportional to 261.15, 358.47 and 230.98

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Solution

The fourth proportional to 261.15, 358.47 and 230.98 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.15 : 358.47 = 230.98 : x
  2. Step 2: Convert to fraction form
    261.15/358.47 = 230.98/x
  3. Step 3: Cross multiply
    261.15x = 358.47 × 230.98
  4. Step 4: Simplify right side
    261.15x = 82,799.14
  5. Step 5: Solve for x
    x = 82,799.14/261.15
  6. Step 6: Final answer
    x = 317.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.