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Finding the Fourth Proportional to 378.64, 569.96 and 322.96

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Solution

The fourth proportional to 378.64, 569.96 and 322.96 is: 486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 569.96 = 322.96 : x
  2. Step 2: Convert to fraction form
    378.64/569.96 = 322.96/x
  3. Step 3: Cross multiply
    378.64x = 569.96 × 322.96
  4. Step 4: Simplify right side
    378.64x = 184,074.28
  5. Step 5: Solve for x
    x = 184,074.28/378.64
  6. Step 6: Final answer
    x = 486.15

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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.