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Finding the Fourth Proportional to 295.45, 407.77 and 285.86

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Solution

The fourth proportional to 295.45, 407.77 and 285.86 is: 394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 407.77 = 285.86 : x
  2. Step 2: Convert to fraction form
    295.45/407.77 = 285.86/x
  3. Step 3: Cross multiply
    295.45x = 407.77 × 285.86
  4. Step 4: Simplify right side
    295.45x = 116,565.13
  5. Step 5: Solve for x
    x = 116,565.13/295.45
  6. Step 6: Final answer
    x = 394.53

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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.