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Finding the Fourth Proportional to 352.12, 526.08 and 340

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Solution

The fourth proportional to 352.12, 526.08 and 340 is: 507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.12 : 526.08 = 340 : x
  2. Step 2: Convert to fraction form
    352.12/526.08 = 340/x
  3. Step 3: Cross multiply
    352.12x = 526.08 × 340
  4. Step 4: Simplify right side
    352.12x = 178,867.20
  5. Step 5: Solve for x
    x = 178,867.20/352.12
  6. Step 6: Final answer
    x = 507.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.