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Finding the Fourth Proportional to 401.90, 601.75 and 291.89

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Solution

The fourth proportional to 401.90, 601.75 and 291.89 is: 437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 601.75 = 291.89 : x
  2. Step 2: Convert to fraction form
    401.90/601.75 = 291.89/x
  3. Step 3: Cross multiply
    401.90x = 601.75 × 291.89
  4. Step 4: Simplify right side
    401.90x = 175,644.81
  5. Step 5: Solve for x
    x = 175,644.81/401.90
  6. Step 6: Final answer
    x = 437.04

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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.