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Finding the Fourth Proportional to 258.66, 358.56 and 242.10

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Solution

The fourth proportional to 258.66, 358.56 and 242.10 is: 335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.66 : 358.56 = 242.10 : x
  2. Step 2: Convert to fraction form
    258.66/358.56 = 242.10/x
  3. Step 3: Cross multiply
    258.66x = 358.56 × 242.10
  4. Step 4: Simplify right side
    258.66x = 86,807.38
  5. Step 5: Solve for x
    x = 86,807.38/258.66
  6. Step 6: Final answer
    x = 335.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.