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Finding the Fourth Proportional to 315.08, 432.28 and 307.88

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Solution

The fourth proportional to 315.08, 432.28 and 307.88 is: 422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.08 : 432.28 = 307.88 : x
  2. Step 2: Convert to fraction form
    315.08/432.28 = 307.88/x
  3. Step 3: Cross multiply
    315.08x = 432.28 × 307.88
  4. Step 4: Simplify right side
    315.08x = 133,090.37
  5. Step 5: Solve for x
    x = 133,090.37/315.08
  6. Step 6: Final answer
    x = 422.40

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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.