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Finding the Fourth Proportional to 290.48, 434.78 and 158.53

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Solution

The fourth proportional to 290.48, 434.78 and 158.53 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.48 : 434.78 = 158.53 : x
  2. Step 2: Convert to fraction form
    290.48/434.78 = 158.53/x
  3. Step 3: Cross multiply
    290.48x = 434.78 × 158.53
  4. Step 4: Simplify right side
    290.48x = 68,925.67
  5. Step 5: Solve for x
    x = 68,925.67/290.48
  6. Step 6: Final answer
    x = 237.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.