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Finding the Fourth Proportional to 302.19, 451.12 and 288.90

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Solution

The fourth proportional to 302.19, 451.12 and 288.90 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 451.12 = 288.90 : x
  2. Step 2: Convert to fraction form
    302.19/451.12 = 288.90/x
  3. Step 3: Cross multiply
    302.19x = 451.12 × 288.90
  4. Step 4: Simplify right side
    302.19x = 130,328.57
  5. Step 5: Solve for x
    x = 130,328.57/302.19
  6. Step 6: Final answer
    x = 431.28

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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.