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Finding the Fourth Proportional to 307.68, 463.44 and 288.48

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Solution

The fourth proportional to 307.68, 463.44 and 288.48 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 463.44 = 288.48 : x
  2. Step 2: Convert to fraction form
    307.68/463.44 = 288.48/x
  3. Step 3: Cross multiply
    307.68x = 463.44 × 288.48
  4. Step 4: Simplify right side
    307.68x = 133,693.17
  5. Step 5: Solve for x
    x = 133,693.17/307.68
  6. Step 6: Final answer
    x = 434.52

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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.