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Finding the Fourth Proportional to 352.63, 526.43 and 306.51

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Solution

The fourth proportional to 352.63, 526.43 and 306.51 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.63 : 526.43 = 306.51 : x
  2. Step 2: Convert to fraction form
    352.63/526.43 = 306.51/x
  3. Step 3: Cross multiply
    352.63x = 526.43 × 306.51
  4. Step 4: Simplify right side
    352.63x = 161,357.57
  5. Step 5: Solve for x
    x = 161,357.57/352.63
  6. Step 6: Final answer
    x = 457.58

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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.