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Finding the Fourth Proportional to 305.55, 456.33 and 264.51

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Solution

The fourth proportional to 305.55, 456.33 and 264.51 is: 395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.55 : 456.33 = 264.51 : x
  2. Step 2: Convert to fraction form
    305.55/456.33 = 264.51/x
  3. Step 3: Cross multiply
    305.55x = 456.33 × 264.51
  4. Step 4: Simplify right side
    305.55x = 120,703.85
  5. Step 5: Solve for x
    x = 120,703.85/305.55
  6. Step 6: Final answer
    x = 395.04

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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.