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Finding the Fourth Proportional to 253.12, 377.60 and 216.64

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Solution

The fourth proportional to 253.12, 377.60 and 216.64 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 377.60 = 216.64 : x
  2. Step 2: Convert to fraction form
    253.12/377.60 = 216.64/x
  3. Step 3: Cross multiply
    253.12x = 377.60 × 216.64
  4. Step 4: Simplify right side
    253.12x = 81,803.26
  5. Step 5: Solve for x
    x = 81,803.26/253.12
  6. Step 6: Final answer
    x = 323.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.