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Finding the Fourth Proportional to 289.02, 432.60 and 237.06

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Solution

The fourth proportional to 289.02, 432.60 and 237.06 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 432.60 = 237.06 : x
  2. Step 2: Convert to fraction form
    289.02/432.60 = 237.06/x
  3. Step 3: Cross multiply
    289.02x = 432.60 × 237.06
  4. Step 4: Simplify right side
    289.02x = 102,552.16
  5. Step 5: Solve for x
    x = 102,552.16/289.02
  6. Step 6: Final answer
    x = 354.83

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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.