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Finding the Fourth Proportional to 302.12, 416.81 and 177.74

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Solution

The fourth proportional to 302.12, 416.81 and 177.74 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 416.81 = 177.74 : x
  2. Step 2: Convert to fraction form
    302.12/416.81 = 177.74/x
  3. Step 3: Cross multiply
    302.12x = 416.81 × 177.74
  4. Step 4: Simplify right side
    302.12x = 74,080.84
  5. Step 5: Solve for x
    x = 74,080.84/302.12
  6. Step 6: Final answer
    x = 245.21

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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.