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Finding the Fourth Proportional to 320.11, 442.12 and 256.45

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Solution

The fourth proportional to 320.11, 442.12 and 256.45 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.11 : 442.12 = 256.45 : x
  2. Step 2: Convert to fraction form
    320.11/442.12 = 256.45/x
  3. Step 3: Cross multiply
    320.11x = 442.12 × 256.45
  4. Step 4: Simplify right side
    320.11x = 113,381.67
  5. Step 5: Solve for x
    x = 113,381.67/320.11
  6. Step 6: Final answer
    x = 354.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.