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Finding the Fourth Proportional to 309.12, 460.36 and 290.52

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Solution

The fourth proportional to 309.12, 460.36 and 290.52 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 460.36 = 290.52 : x
  2. Step 2: Convert to fraction form
    309.12/460.36 = 290.52/x
  3. Step 3: Cross multiply
    309.12x = 460.36 × 290.52
  4. Step 4: Simplify right side
    309.12x = 133,743.79
  5. Step 5: Solve for x
    x = 133,743.79/309.12
  6. Step 6: Final answer
    x = 432.66

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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.