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Finding the Fourth Proportional to 340.81, 469.90 and 270.64

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Solution

The fourth proportional to 340.81, 469.90 and 270.64 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 469.90 = 270.64 : x
  2. Step 2: Convert to fraction form
    340.81/469.90 = 270.64/x
  3. Step 3: Cross multiply
    340.81x = 469.90 × 270.64
  4. Step 4: Simplify right side
    340.81x = 127,174.66
  5. Step 5: Solve for x
    x = 127,174.66/340.81
  6. Step 6: Final answer
    x = 373.16

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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.