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Finding the Fourth Proportional to 340.34, 510.26 and 257.99

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Solution

The fourth proportional to 340.34, 510.26 and 257.99 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 510.26 = 257.99 : x
  2. Step 2: Convert to fraction form
    340.34/510.26 = 257.99/x
  3. Step 3: Cross multiply
    340.34x = 510.26 × 257.99
  4. Step 4: Simplify right side
    340.34x = 131,638.14
  5. Step 5: Solve for x
    x = 131,638.14/340.34
  6. Step 6: Final answer
    x = 386.79

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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.