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Finding the Fourth Proportional to 289.76, 432.63 and 202.41

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Solution

The fourth proportional to 289.76, 432.63 and 202.41 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 432.63 = 202.41 : x
  2. Step 2: Convert to fraction form
    289.76/432.63 = 202.41/x
  3. Step 3: Cross multiply
    289.76x = 432.63 × 202.41
  4. Step 4: Simplify right side
    289.76x = 87,568.64
  5. Step 5: Solve for x
    x = 87,568.64/289.76
  6. Step 6: Final answer
    x = 302.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.