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Finding the Fourth Proportional to 350.96, 525.64 and 206.40

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Solution

The fourth proportional to 350.96, 525.64 and 206.40 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.96 : 525.64 = 206.40 : x
  2. Step 2: Convert to fraction form
    350.96/525.64 = 206.40/x
  3. Step 3: Cross multiply
    350.96x = 525.64 × 206.40
  4. Step 4: Simplify right side
    350.96x = 108,492.10
  5. Step 5: Solve for x
    x = 108,492.10/350.96
  6. Step 6: Final answer
    x = 309.13

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Why These Related Problems?

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