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Finding the Fourth Proportional to 346.48, 518.88 and 259.72

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Solution

The fourth proportional to 346.48, 518.88 and 259.72 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 518.88 = 259.72 : x
  2. Step 2: Convert to fraction form
    346.48/518.88 = 259.72/x
  3. Step 3: Cross multiply
    346.48x = 518.88 × 259.72
  4. Step 4: Simplify right side
    346.48x = 134,763.51
  5. Step 5: Solve for x
    x = 134,763.51/346.48
  6. Step 6: Final answer
    x = 388.95

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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.