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Finding the Fourth Proportional to 526.93, 727.37 and 352.21

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Solution

The fourth proportional to 526.93, 727.37 and 352.21 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.93 : 727.37 = 352.21 : x
  2. Step 2: Convert to fraction form
    526.93/727.37 = 352.21/x
  3. Step 3: Cross multiply
    526.93x = 727.37 × 352.21
  4. Step 4: Simplify right side
    526.93x = 256,186.99
  5. Step 5: Solve for x
    x = 256,186.99/526.93
  6. Step 6: Final answer
    x = 486.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.