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Finding the Fourth Proportional to 259.60, 387.30 and 245.20

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Solution

The fourth proportional to 259.60, 387.30 and 245.20 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.60 : 387.30 = 245.20 : x
  2. Step 2: Convert to fraction form
    259.60/387.30 = 245.20/x
  3. Step 3: Cross multiply
    259.60x = 387.30 × 245.20
  4. Step 4: Simplify right side
    259.60x = 94,965.96
  5. Step 5: Solve for x
    x = 94,965.96/259.60
  6. Step 6: Final answer
    x = 365.82

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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.