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Finding the Fourth Proportional to 294.02, 405.76 and 177.62

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Solution

The fourth proportional to 294.02, 405.76 and 177.62 is: 245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.02 : 405.76 = 177.62 : x
  2. Step 2: Convert to fraction form
    294.02/405.76 = 177.62/x
  3. Step 3: Cross multiply
    294.02x = 405.76 × 177.62
  4. Step 4: Simplify right side
    294.02x = 72,068.62
  5. Step 5: Solve for x
    x = 72,068.62/294.02
  6. Step 6: Final answer
    x = 245.12

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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.