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Finding the Fourth Proportional to 305.29, 420.57 and 211.87

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Solution

The fourth proportional to 305.29, 420.57 and 211.87 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 420.57 = 211.87 : x
  2. Step 2: Convert to fraction form
    305.29/420.57 = 211.87/x
  3. Step 3: Cross multiply
    305.29x = 420.57 × 211.87
  4. Step 4: Simplify right side
    305.29x = 89,106.17
  5. Step 5: Solve for x
    x = 89,106.17/305.29
  6. Step 6: Final answer
    x = 291.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.