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Finding the Fourth Proportional to 295.61, 407.91 and 164.61

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Solution

The fourth proportional to 295.61, 407.91 and 164.61 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.61 : 407.91 = 164.61 : x
  2. Step 2: Convert to fraction form
    295.61/407.91 = 164.61/x
  3. Step 3: Cross multiply
    295.61x = 407.91 × 164.61
  4. Step 4: Simplify right side
    295.61x = 67,146.07
  5. Step 5: Solve for x
    x = 67,146.07/295.61
  6. Step 6: Final answer
    x = 227.14

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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.