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Finding the Fourth Proportional to 259.84, 390.72 and 179.20

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Solution

The fourth proportional to 259.84, 390.72 and 179.20 is: 269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 390.72 = 179.20 : x
  2. Step 2: Convert to fraction form
    259.84/390.72 = 179.20/x
  3. Step 3: Cross multiply
    259.84x = 390.72 × 179.20
  4. Step 4: Simplify right side
    259.84x = 70,017.02
  5. Step 5: Solve for x
    x = 70,017.02/259.84
  6. Step 6: Final answer
    x = 269.46

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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.