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Finding the Fourth Proportional to 305.88, 456.16 and 260.52

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Solution

The fourth proportional to 305.88, 456.16 and 260.52 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 456.16 = 260.52 : x
  2. Step 2: Convert to fraction form
    305.88/456.16 = 260.52/x
  3. Step 3: Cross multiply
    305.88x = 456.16 × 260.52
  4. Step 4: Simplify right side
    305.88x = 118,838.80
  5. Step 5: Solve for x
    x = 118,838.80/305.88
  6. Step 6: Final answer
    x = 388.51

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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.