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Finding the Fourth Proportional to 355.79, 530.54 and 343.10

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Solution

The fourth proportional to 355.79, 530.54 and 343.10 is: 511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.79 : 530.54 = 343.10 : x
  2. Step 2: Convert to fraction form
    355.79/530.54 = 343.10/x
  3. Step 3: Cross multiply
    355.79x = 530.54 × 343.10
  4. Step 4: Simplify right side
    355.79x = 182,027.59
  5. Step 5: Solve for x
    x = 182,027.59/355.79
  6. Step 6: Final answer
    x = 511.62

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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.