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Finding the Fourth Proportional to 314.72, 434.16 and 183.64

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Solution

The fourth proportional to 314.72, 434.16 and 183.64 is: 253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 434.16 = 183.64 : x
  2. Step 2: Convert to fraction form
    314.72/434.16 = 183.64/x
  3. Step 3: Cross multiply
    314.72x = 434.16 × 183.64
  4. Step 4: Simplify right side
    314.72x = 79,729.14
  5. Step 5: Solve for x
    x = 79,729.14/314.72
  6. Step 6: Final answer
    x = 253.33

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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.