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Finding the Fourth Proportional to 302.72, 455.96 and 288.14

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Solution

The fourth proportional to 302.72, 455.96 and 288.14 is: 434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 455.96 = 288.14 : x
  2. Step 2: Convert to fraction form
    302.72/455.96 = 288.14/x
  3. Step 3: Cross multiply
    302.72x = 455.96 × 288.14
  4. Step 4: Simplify right side
    302.72x = 131,381.72
  5. Step 5: Solve for x
    x = 131,381.72/302.72
  6. Step 6: Final answer
    x = 434.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.