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Finding the Fourth Proportional to 291.47, 401.88 and 221.35

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Solution

The fourth proportional to 291.47, 401.88 and 221.35 is: 305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 401.88 = 221.35 : x
  2. Step 2: Convert to fraction form
    291.47/401.88 = 221.35/x
  3. Step 3: Cross multiply
    291.47x = 401.88 × 221.35
  4. Step 4: Simplify right side
    291.47x = 88,955.13
  5. Step 5: Solve for x
    x = 88,955.13/291.47
  6. Step 6: Final answer
    x = 305.20

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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.