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Finding the Fourth Proportional to 313.41, 432.69 and 215.31

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Solution

The fourth proportional to 313.41, 432.69 and 215.31 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 432.69 = 215.31 : x
  2. Step 2: Convert to fraction form
    313.41/432.69 = 215.31/x
  3. Step 3: Cross multiply
    313.41x = 432.69 × 215.31
  4. Step 4: Simplify right side
    313.41x = 93,162.48
  5. Step 5: Solve for x
    x = 93,162.48/313.41
  6. Step 6: Final answer
    x = 297.25

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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.