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Finding the Fourth Proportional to 259.92, 390.36 and 157.40

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Solution

The fourth proportional to 259.92, 390.36 and 157.40 is: 236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 390.36 = 157.40 : x
  2. Step 2: Convert to fraction form
    259.92/390.36 = 157.40/x
  3. Step 3: Cross multiply
    259.92x = 390.36 × 157.40
  4. Step 4: Simplify right side
    259.92x = 61,442.66
  5. Step 5: Solve for x
    x = 61,442.66/259.92
  6. Step 6: Final answer
    x = 236.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.