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Finding the Fourth Proportional to 368.16, 508 and 212.88

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Solution

The fourth proportional to 368.16, 508 and 212.88 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 508 = 212.88 : x
  2. Step 2: Convert to fraction form
    368.16/508 = 212.88/x
  3. Step 3: Cross multiply
    368.16x = 508 × 212.88
  4. Step 4: Simplify right side
    368.16x = 108,143.04
  5. Step 5: Solve for x
    x = 108,143.04/368.16
  6. Step 6: Final answer
    x = 293.74

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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.