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Finding the Fourth Proportional to 256.38, 384.57 and 202.65

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Solution

The fourth proportional to 256.38, 384.57 and 202.65 is: 303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 384.57 = 202.65 : x
  2. Step 2: Convert to fraction form
    256.38/384.57 = 202.65/x
  3. Step 3: Cross multiply
    256.38x = 384.57 × 202.65
  4. Step 4: Simplify right side
    256.38x = 77,933.11
  5. Step 5: Solve for x
    x = 77,933.11/256.38
  6. Step 6: Final answer
    x = 303.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.