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Finding the Fourth Proportional to 336.90, 507.65 and 277.37

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Solution

The fourth proportional to 336.90, 507.65 and 277.37 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.90 : 507.65 = 277.37 : x
  2. Step 2: Convert to fraction form
    336.90/507.65 = 277.37/x
  3. Step 3: Cross multiply
    336.90x = 507.65 × 277.37
  4. Step 4: Simplify right side
    336.90x = 140,806.88
  5. Step 5: Solve for x
    x = 140,806.88/336.90
  6. Step 6: Final answer
    x = 417.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.