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Finding the Fourth Proportional to 307.51, 463.56 and 287.14

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Solution

The fourth proportional to 307.51, 463.56 and 287.14 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.51 : 463.56 = 287.14 : x
  2. Step 2: Convert to fraction form
    307.51/463.56 = 287.14/x
  3. Step 3: Cross multiply
    307.51x = 463.56 × 287.14
  4. Step 4: Simplify right side
    307.51x = 133,106.62
  5. Step 5: Solve for x
    x = 133,106.62/307.51
  6. Step 6: Final answer
    x = 432.85

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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.