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Finding the Fourth Proportional to 325.32, 488.13 and 143.07

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Solution

The fourth proportional to 325.32, 488.13 and 143.07 is: 214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 488.13 = 143.07 : x
  2. Step 2: Convert to fraction form
    325.32/488.13 = 143.07/x
  3. Step 3: Cross multiply
    325.32x = 488.13 × 143.07
  4. Step 4: Simplify right side
    325.32x = 69,836.76
  5. Step 5: Solve for x
    x = 69,836.76/325.32
  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.