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Finding the Fourth Proportional to 352.02, 526.20 and 274.08

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Solution

The fourth proportional to 352.02, 526.20 and 274.08 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.02 : 526.20 = 274.08 : x
  2. Step 2: Convert to fraction form
    352.02/526.20 = 274.08/x
  3. Step 3: Cross multiply
    352.02x = 526.20 × 274.08
  4. Step 4: Simplify right side
    352.02x = 144,220.90
  5. Step 5: Solve for x
    x = 144,220.90/352.02
  6. Step 6: Final answer
    x = 409.70

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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.