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Finding the Fourth Proportional to 314.28, 468.59 and 287.15

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Solution

The fourth proportional to 314.28, 468.59 and 287.15 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 468.59 = 287.15 : x
  2. Step 2: Convert to fraction form
    314.28/468.59 = 287.15/x
  3. Step 3: Cross multiply
    314.28x = 468.59 × 287.15
  4. Step 4: Simplify right side
    314.28x = 134,551.84
  5. Step 5: Solve for x
    x = 134,551.84/314.28
  6. Step 6: Final answer
    x = 428.13

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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.