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Finding the Fourth Proportional to 313.16, 432.20 and 188.83

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Solution

The fourth proportional to 313.16, 432.20 and 188.83 is: 260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 432.20 = 188.83 : x
  2. Step 2: Convert to fraction form
    313.16/432.20 = 188.83/x
  3. Step 3: Cross multiply
    313.16x = 432.20 × 188.83
  4. Step 4: Simplify right side
    313.16x = 81,612.33
  5. Step 5: Solve for x
    x = 81,612.33/313.16
  6. Step 6: Final answer
    x = 260.61

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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.