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Finding the Fourth Proportional to 417.15, 625.52 and 143.16

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Solution

The fourth proportional to 417.15, 625.52 and 143.16 is: 214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.15 : 625.52 = 143.16 : x
  2. Step 2: Convert to fraction form
    417.15/625.52 = 143.16/x
  3. Step 3: Cross multiply
    417.15x = 625.52 × 143.16
  4. Step 4: Simplify right side
    417.15x = 89,548.73
  5. Step 5: Solve for x
    x = 89,548.73/417.15
  6. Step 6: Final answer
    x = 214.67

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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.