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Finding the Fourth Proportional to 295.61, 407.91 and 162.83

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Solution

The fourth proportional to 295.61, 407.91 and 162.83 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.61 : 407.91 = 162.83 : x
  2. Step 2: Convert to fraction form
    295.61/407.91 = 162.83/x
  3. Step 3: Cross multiply
    295.61x = 407.91 × 162.83
  4. Step 4: Simplify right side
    295.61x = 66,417.95
  5. Step 5: Solve for x
    x = 66,417.95/295.61
  6. Step 6: Final answer
    x = 224.68

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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.