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Finding the Fourth Proportional to 305.18, 420.24 and 271.50

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Solution

The fourth proportional to 305.18, 420.24 and 271.50 is: 373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.18 : 420.24 = 271.50 : x
  2. Step 2: Convert to fraction form
    305.18/420.24 = 271.50/x
  3. Step 3: Cross multiply
    305.18x = 420.24 × 271.50
  4. Step 4: Simplify right side
    305.18x = 114,095.16
  5. Step 5: Solve for x
    x = 114,095.16/305.18
  6. Step 6: Final answer
    x = 373.86

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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.