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Finding the Fourth Proportional to 302.65, 417.63 and 178.33

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Solution

The fourth proportional to 302.65, 417.63 and 178.33 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 417.63 = 178.33 : x
  2. Step 2: Convert to fraction form
    302.65/417.63 = 178.33/x
  3. Step 3: Cross multiply
    302.65x = 417.63 × 178.33
  4. Step 4: Simplify right side
    302.65x = 74,475.96
  5. Step 5: Solve for x
    x = 74,475.96/302.65
  6. Step 6: Final answer
    x = 246.08

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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.