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Finding the Fourth Proportional to 469.08, 646.85 and 282.53

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Solution

The fourth proportional to 469.08, 646.85 and 282.53 is: 389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 646.85 = 282.53 : x
  2. Step 2: Convert to fraction form
    469.08/646.85 = 282.53/x
  3. Step 3: Cross multiply
    469.08x = 646.85 × 282.53
  4. Step 4: Simplify right side
    469.08x = 182,756.85
  5. Step 5: Solve for x
    x = 182,756.85/469.08
  6. Step 6: Final answer
    x = 389.61

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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.