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Finding the Fourth Proportional to 353.10, 486.72 and 282.93

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Solution

The fourth proportional to 353.10, 486.72 and 282.93 is: 390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.10 : 486.72 = 282.93 : x
  2. Step 2: Convert to fraction form
    353.10/486.72 = 282.93/x
  3. Step 3: Cross multiply
    353.10x = 486.72 × 282.93
  4. Step 4: Simplify right side
    353.10x = 137,707.69
  5. Step 5: Solve for x
    x = 137,707.69/353.10
  6. Step 6: Final answer
    x = 390.00

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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.