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Finding the Fourth Proportional to 312.50, 465.98 and 290.18

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Solution

The fourth proportional to 312.50, 465.98 and 290.18 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 465.98 = 290.18 : x
  2. Step 2: Convert to fraction form
    312.50/465.98 = 290.18/x
  3. Step 3: Cross multiply
    312.50x = 465.98 × 290.18
  4. Step 4: Simplify right side
    312.50x = 135,218.08
  5. Step 5: Solve for x
    x = 135,218.08/312.50
  6. Step 6: Final answer
    x = 432.70

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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.