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Finding the Fourth Proportional to 407.83, 560.85 and 328.15

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Solution

The fourth proportional to 407.83, 560.85 and 328.15 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 560.85 = 328.15 : x
  2. Step 2: Convert to fraction form
    407.83/560.85 = 328.15/x
  3. Step 3: Cross multiply
    407.83x = 560.85 × 328.15
  4. Step 4: Simplify right side
    407.83x = 184,042.93
  5. Step 5: Solve for x
    x = 184,042.93/407.83
  6. Step 6: Final answer
    x = 451.27

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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.