Home / 1,306.05-1,959.14-332.16

Finding the Fourth Proportional to 1,306.05, 1,959.14 and 332.16

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Solution

The fourth proportional to 1,306.05, 1,959.14 and 332.16 is: 498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.05 : 1,959.14 = 332.16 : x
  2. Step 2: Convert to fraction form
    1,306.05/1,959.14 = 332.16/x
  3. Step 3: Cross multiply
    1,306.05x = 1,959.14 × 332.16
  4. Step 4: Simplify right side
    1,306.05x = 650,747.94
  5. Step 5: Solve for x
    x = 650,747.94/1,306.05
  6. Step 6: Final answer
    x = 498.26

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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.