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Finding the Fourth Proportional to 256.16, 384.55 and 202.10

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Solution

The fourth proportional to 256.16, 384.55 and 202.10 is: 303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 384.55 = 202.10 : x
  2. Step 2: Convert to fraction form
    256.16/384.55 = 202.10/x
  3. Step 3: Cross multiply
    256.16x = 384.55 × 202.10
  4. Step 4: Simplify right side
    256.16x = 77,715.13
  5. Step 5: Solve for x
    x = 77,715.13/256.16
  6. Step 6: Final answer
    x = 303.38

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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.