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Finding the Fourth Proportional to 314.00, 468.27 and 279.04

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Solution

The fourth proportional to 314.00, 468.27 and 279.04 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.00 : 468.27 = 279.04 : x
  2. Step 2: Convert to fraction form
    314.00/468.27 = 279.04/x
  3. Step 3: Cross multiply
    314.00x = 468.27 × 279.04
  4. Step 4: Simplify right side
    314.00x = 130,664.89
  5. Step 5: Solve for x
    x = 130,664.89/314.00
  6. Step 6: Final answer
    x = 416.13

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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.