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Finding the Fourth Proportional to 312.04, 430.52 and 201.32

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Solution

The fourth proportional to 312.04, 430.52 and 201.32 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 430.52 = 201.32 : x
  2. Step 2: Convert to fraction form
    312.04/430.52 = 201.32/x
  3. Step 3: Cross multiply
    312.04x = 430.52 × 201.32
  4. Step 4: Simplify right side
    312.04x = 86,669.13
  5. Step 5: Solve for x
    x = 86,669.13/312.04
  6. Step 6: Final answer
    x = 277.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.