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Finding the Fourth Proportional to 350.08, 527.07 and 242.60

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Solution

The fourth proportional to 350.08, 527.07 and 242.60 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 527.07 = 242.60 : x
  2. Step 2: Convert to fraction form
    350.08/527.07 = 242.60/x
  3. Step 3: Cross multiply
    350.08x = 527.07 × 242.60
  4. Step 4: Simplify right side
    350.08x = 127,867.18
  5. Step 5: Solve for x
    x = 127,867.18/350.08
  6. Step 6: Final answer
    x = 365.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.