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Finding the Fourth Proportional to 340.23, 469.30 and 215.79

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Solution

The fourth proportional to 340.23, 469.30 and 215.79 is: 297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.23 : 469.30 = 215.79 : x
  2. Step 2: Convert to fraction form
    340.23/469.30 = 215.79/x
  3. Step 3: Cross multiply
    340.23x = 469.30 × 215.79
  4. Step 4: Simplify right side
    340.23x = 101,270.25
  5. Step 5: Solve for x
    x = 101,270.25/340.23
  6. Step 6: Final answer
    x = 297.65

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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.