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Finding the Fourth Proportional to 314.07, 431.78 and 312.08

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Solution

The fourth proportional to 314.07, 431.78 and 312.08 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 431.78 = 312.08 : x
  2. Step 2: Convert to fraction form
    314.07/431.78 = 312.08/x
  3. Step 3: Cross multiply
    314.07x = 431.78 × 312.08
  4. Step 4: Simplify right side
    314.07x = 134,748.34
  5. Step 5: Solve for x
    x = 134,748.34/314.07
  6. Step 6: Final answer
    x = 429.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.