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Finding the Fourth Proportional to 339.70, 509.46 and 210.64

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Solution

The fourth proportional to 339.70, 509.46 and 210.64 is: 315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.70 : 509.46 = 210.64 : x
  2. Step 2: Convert to fraction form
    339.70/509.46 = 210.64/x
  3. Step 3: Cross multiply
    339.70x = 509.46 × 210.64
  4. Step 4: Simplify right side
    339.70x = 107,312.65
  5. Step 5: Solve for x
    x = 107,312.65/339.70
  6. Step 6: Final answer
    x = 315.90

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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.