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Finding the Fourth Proportional to 289.05, 432.77 and 202.19

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Solution

The fourth proportional to 289.05, 432.77 and 202.19 is: 302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.05 : 432.77 = 202.19 : x
  2. Step 2: Convert to fraction form
    289.05/432.77 = 202.19/x
  3. Step 3: Cross multiply
    289.05x = 432.77 × 202.19
  4. Step 4: Simplify right side
    289.05x = 87,500.11
  5. Step 5: Solve for x
    x = 87,500.11/289.05
  6. Step 6: Final answer
    x = 302.72

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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.