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Finding the Fourth Proportional to 350.50, 522.90 and 340.58

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Solution

The fourth proportional to 350.50, 522.90 and 340.58 is: 508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.50 : 522.90 = 340.58 : x
  2. Step 2: Convert to fraction form
    350.50/522.90 = 340.58/x
  3. Step 3: Cross multiply
    350.50x = 522.90 × 340.58
  4. Step 4: Simplify right side
    350.50x = 178,089.28
  5. Step 5: Solve for x
    x = 178,089.28/350.50
  6. Step 6: Final answer
    x = 508.10

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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.