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Finding the Fourth Proportional to 340.54, 510.01 and 334.90

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Solution

The fourth proportional to 340.54, 510.01 and 334.90 is: 501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 510.01 = 334.90 : x
  2. Step 2: Convert to fraction form
    340.54/510.01 = 334.90/x
  3. Step 3: Cross multiply
    340.54x = 510.01 × 334.90
  4. Step 4: Simplify right side
    340.54x = 170,802.35
  5. Step 5: Solve for x
    x = 170,802.35/340.54
  6. Step 6: Final answer
    x = 501.56

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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.