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Finding the Fourth Proportional to 289.69, 432.42 and 253.24

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Solution

The fourth proportional to 289.69, 432.42 and 253.24 is: 378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 432.42 = 253.24 : x
  2. Step 2: Convert to fraction form
    289.69/432.42 = 253.24/x
  3. Step 3: Cross multiply
    289.69x = 432.42 × 253.24
  4. Step 4: Simplify right side
    289.69x = 109,506.04
  5. Step 5: Solve for x
    x = 109,506.04/289.69
  6. Step 6: Final answer
    x = 378.01

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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.