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Finding the Fourth Proportional to 340.72, 509.52 and 210.32

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Solution

The fourth proportional to 340.72, 509.52 and 210.32 is: 314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 509.52 = 210.32 : x
  2. Step 2: Convert to fraction form
    340.72/509.52 = 210.32/x
  3. Step 3: Cross multiply
    340.72x = 509.52 × 210.32
  4. Step 4: Simplify right side
    340.72x = 107,162.25
  5. Step 5: Solve for x
    x = 107,162.25/340.72
  6. Step 6: Final answer
    x = 314.52

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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.