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Finding the Fourth Proportional to 305.57, 455.63 and 290.39

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Solution

The fourth proportional to 305.57, 455.63 and 290.39 is: 432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.57 : 455.63 = 290.39 : x
  2. Step 2: Convert to fraction form
    305.57/455.63 = 290.39/x
  3. Step 3: Cross multiply
    305.57x = 455.63 × 290.39
  4. Step 4: Simplify right side
    305.57x = 132,306.67
  5. Step 5: Solve for x
    x = 132,306.67/305.57
  6. Step 6: Final answer
    x = 432.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.