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Finding the Fourth Proportional to 355.21, 529.17 and 342.15

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Solution

The fourth proportional to 355.21, 529.17 and 342.15 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.21 : 529.17 = 342.15 : x
  2. Step 2: Convert to fraction form
    355.21/529.17 = 342.15/x
  3. Step 3: Cross multiply
    355.21x = 529.17 × 342.15
  4. Step 4: Simplify right side
    355.21x = 181,055.52
  5. Step 5: Solve for x
    x = 181,055.52/355.21
  6. Step 6: Final answer
    x = 509.71

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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.