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Finding the Fourth Proportional to 309.46, 462.13 and 291.46

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Solution

The fourth proportional to 309.46, 462.13 and 291.46 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 462.13 = 291.46 : x
  2. Step 2: Convert to fraction form
    309.46/462.13 = 291.46/x
  3. Step 3: Cross multiply
    309.46x = 462.13 × 291.46
  4. Step 4: Simplify right side
    309.46x = 134,692.41
  5. Step 5: Solve for x
    x = 134,692.41/309.46
  6. Step 6: Final answer
    x = 435.25

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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.