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Finding the Fourth Proportional to 350.64, 522.18 and 342.18

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Solution

The fourth proportional to 350.64, 522.18 and 342.18 is: 509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.64 : 522.18 = 342.18 : x
  2. Step 2: Convert to fraction form
    350.64/522.18 = 342.18/x
  3. Step 3: Cross multiply
    350.64x = 522.18 × 342.18
  4. Step 4: Simplify right side
    350.64x = 178,679.55
  5. Step 5: Solve for x
    x = 178,679.55/350.64
  6. Step 6: Final answer
    x = 509.58

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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.