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Finding the Fourth Proportional to 340.50, 509.54 and 210.54

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Solution

The fourth proportional to 340.50, 509.54 and 210.54 is: 315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 509.54 = 210.54 : x
  2. Step 2: Convert to fraction form
    340.50/509.54 = 210.54/x
  3. Step 3: Cross multiply
    340.50x = 509.54 × 210.54
  4. Step 4: Simplify right side
    340.50x = 107,278.55
  5. Step 5: Solve for x
    x = 107,278.55/340.50
  6. Step 6: Final answer
    x = 315.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.