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Finding the Fourth Proportional to 315.04, 437.68 and 312.22

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Solution

The fourth proportional to 315.04, 437.68 and 312.22 is: 433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.04 : 437.68 = 312.22 : x
  2. Step 2: Convert to fraction form
    315.04/437.68 = 312.22/x
  3. Step 3: Cross multiply
    315.04x = 437.68 × 312.22
  4. Step 4: Simplify right side
    315.04x = 136,652.45
  5. Step 5: Solve for x
    x = 136,652.45/315.04
  6. Step 6: Final answer
    x = 433.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.