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Finding the Fourth Proportional to 305.18, 417.91 and 288.53

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Solution

The fourth proportional to 305.18, 417.91 and 288.53 is: 395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.18 : 417.91 = 288.53 : x
  2. Step 2: Convert to fraction form
    305.18/417.91 = 288.53/x
  3. Step 3: Cross multiply
    305.18x = 417.91 × 288.53
  4. Step 4: Simplify right side
    305.18x = 120,579.57
  5. Step 5: Solve for x
    x = 120,579.57/305.18
  6. Step 6: Final answer
    x = 395.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.