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Finding the Fourth Proportional to 374.64, 564.36 and 326.40

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Solution

The fourth proportional to 374.64, 564.36 and 326.40 is: 491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 564.36 = 326.40 : x
  2. Step 2: Convert to fraction form
    374.64/564.36 = 326.40/x
  3. Step 3: Cross multiply
    374.64x = 564.36 × 326.40
  4. Step 4: Simplify right side
    374.64x = 184,207.10
  5. Step 5: Solve for x
    x = 184,207.10/374.64
  6. Step 6: Final answer
    x = 491.69

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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.