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Finding the Fourth Proportional to 295.35, 407.45 and 212.28

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Solution

The fourth proportional to 295.35, 407.45 and 212.28 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 407.45 = 212.28 : x
  2. Step 2: Convert to fraction form
    295.35/407.45 = 212.28/x
  3. Step 3: Cross multiply
    295.35x = 407.45 × 212.28
  4. Step 4: Simplify right side
    295.35x = 86,492.42
  5. Step 5: Solve for x
    x = 86,492.42/295.35
  6. Step 6: Final answer
    x = 292.85

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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.