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Finding the Fourth Proportional to 346.16, 521.67 and 325.64

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Solution

The fourth proportional to 346.16, 521.67 and 325.64 is: 490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 521.67 = 325.64 : x
  2. Step 2: Convert to fraction form
    346.16/521.67 = 325.64/x
  3. Step 3: Cross multiply
    346.16x = 521.67 × 325.64
  4. Step 4: Simplify right side
    346.16x = 169,874.01
  5. Step 5: Solve for x
    x = 169,874.01/346.16
  6. Step 6: Final answer
    x = 490.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.