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Finding the Fourth Proportional to 295.55, 406.16 and 287.36

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Solution

The fourth proportional to 295.55, 406.16 and 287.36 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.55 : 406.16 = 287.36 : x
  2. Step 2: Convert to fraction form
    295.55/406.16 = 287.36/x
  3. Step 3: Cross multiply
    295.55x = 406.16 × 287.36
  4. Step 4: Simplify right side
    295.55x = 116,710.67
  5. Step 5: Solve for x
    x = 116,710.67/295.55
  6. Step 6: Final answer
    x = 394.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.