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Finding the Fourth Proportional to 313.32, 467.68 and 290.80

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Solution

The fourth proportional to 313.32, 467.68 and 290.80 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.32 : 467.68 = 290.80 : x
  2. Step 2: Convert to fraction form
    313.32/467.68 = 290.80/x
  3. Step 3: Cross multiply
    313.32x = 467.68 × 290.80
  4. Step 4: Simplify right side
    313.32x = 136,001.34
  5. Step 5: Solve for x
    x = 136,001.34/313.32
  6. Step 6: Final answer
    x = 434.07

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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.