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Finding the Fourth Proportional to 309.13, 460.37 and 290.50

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Solution

The fourth proportional to 309.13, 460.37 and 290.50 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.13 : 460.37 = 290.50 : x
  2. Step 2: Convert to fraction form
    309.13/460.37 = 290.50/x
  3. Step 3: Cross multiply
    309.13x = 460.37 × 290.50
  4. Step 4: Simplify right side
    309.13x = 133,737.49
  5. Step 5: Solve for x
    x = 133,737.49/309.13
  6. Step 6: Final answer
    x = 432.63

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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.