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Finding the Fourth Proportional to 401.90, 602.55 and 145.22

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Solution

The fourth proportional to 401.90, 602.55 and 145.22 is: 217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 602.55 = 145.22 : x
  2. Step 2: Convert to fraction form
    401.90/602.55 = 145.22/x
  3. Step 3: Cross multiply
    401.90x = 602.55 × 145.22
  4. Step 4: Simplify right side
    401.90x = 87,502.31
  5. Step 5: Solve for x
    x = 87,502.31/401.90
  6. Step 6: Final answer
    x = 217.72

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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.