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Finding the Fourth Proportional to 289.50, 433.60 and 143.02

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Solution

The fourth proportional to 289.50, 433.60 and 143.02 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 433.60 = 143.02 : x
  2. Step 2: Convert to fraction form
    289.50/433.60 = 143.02/x
  3. Step 3: Cross multiply
    289.50x = 433.60 × 143.02
  4. Step 4: Simplify right side
    289.50x = 62,013.47
  5. Step 5: Solve for x
    x = 62,013.47/289.50
  6. Step 6: Final answer
    x = 214.21

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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.