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Finding the Fourth Proportional to 356.04, 491.94 and 293.76

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Solution

The fourth proportional to 356.04, 491.94 and 293.76 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.04 : 491.94 = 293.76 : x
  2. Step 2: Convert to fraction form
    356.04/491.94 = 293.76/x
  3. Step 3: Cross multiply
    356.04x = 491.94 × 293.76
  4. Step 4: Simplify right side
    356.04x = 144,512.29
  5. Step 5: Solve for x
    x = 144,512.29/356.04
  6. Step 6: Final answer
    x = 405.89

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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.