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Finding the Fourth Proportional to 400.32, 553.47 and 383.10

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Solution

The fourth proportional to 400.32, 553.47 and 383.10 is: 529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 553.47 = 383.10 : x
  2. Step 2: Convert to fraction form
    400.32/553.47 = 383.10/x
  3. Step 3: Cross multiply
    400.32x = 553.47 × 383.10
  4. Step 4: Simplify right side
    400.32x = 212,034.36
  5. Step 5: Solve for x
    x = 212,034.36/400.32
  6. Step 6: Final answer
    x = 529.66

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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.