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Finding the Fourth Proportional to 240.58, 359.27 and 206.02

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Solution

The fourth proportional to 240.58, 359.27 and 206.02 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.58 : 359.27 = 206.02 : x
  2. Step 2: Convert to fraction form
    240.58/359.27 = 206.02/x
  3. Step 3: Cross multiply
    240.58x = 359.27 × 206.02
  4. Step 4: Simplify right side
    240.58x = 74,016.81
  5. Step 5: Solve for x
    x = 74,016.81/240.58
  6. Step 6: Final answer
    x = 307.66

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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.