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Finding the Fourth Proportional to 240.98, 358.56 and 240.16

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Solution

The fourth proportional to 240.98, 358.56 and 240.16 is: 357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 358.56 = 240.16 : x
  2. Step 2: Convert to fraction form
    240.98/358.56 = 240.16/x
  3. Step 3: Cross multiply
    240.98x = 358.56 × 240.16
  4. Step 4: Simplify right side
    240.98x = 86,111.77
  5. Step 5: Solve for x
    x = 86,111.77/240.98
  6. Step 6: Final answer
    x = 357.34

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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.