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Finding the Fourth Proportional to 390.08, 535.34 and 353.16

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Solution

The fourth proportional to 390.08, 535.34 and 353.16 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.08 : 535.34 = 353.16 : x
  2. Step 2: Convert to fraction form
    390.08/535.34 = 353.16/x
  3. Step 3: Cross multiply
    390.08x = 535.34 × 353.16
  4. Step 4: Simplify right side
    390.08x = 189,061.56
  5. Step 5: Solve for x
    x = 189,061.56/390.08
  6. Step 6: Final answer
    x = 484.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.