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Finding the Fourth Proportional to 355.81, 529.95 and 354.06

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Solution

The fourth proportional to 355.81, 529.95 and 354.06 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.81 : 529.95 = 354.06 : x
  2. Step 2: Convert to fraction form
    355.81/529.95 = 354.06/x
  3. Step 3: Cross multiply
    355.81x = 529.95 × 354.06
  4. Step 4: Simplify right side
    355.81x = 187,634.10
  5. Step 5: Solve for x
    x = 187,634.10/355.81
  6. Step 6: Final answer
    x = 527.34

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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.