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Finding the Fourth Proportional to 340.86, 508.05 and 340.32

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Solution

The fourth proportional to 340.86, 508.05 and 340.32 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 508.05 = 340.32 : x
  2. Step 2: Convert to fraction form
    340.86/508.05 = 340.32/x
  3. Step 3: Cross multiply
    340.86x = 508.05 × 340.32
  4. Step 4: Simplify right side
    340.86x = 172,899.58
  5. Step 5: Solve for x
    x = 172,899.58/340.86
  6. Step 6: Final answer
    x = 507.25

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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.