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Finding the Fourth Proportional to 343.05, 510.53 and 339.45

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Solution

The fourth proportional to 343.05, 510.53 and 339.45 is: 505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.05 : 510.53 = 339.45 : x
  2. Step 2: Convert to fraction form
    343.05/510.53 = 339.45/x
  3. Step 3: Cross multiply
    343.05x = 510.53 × 339.45
  4. Step 4: Simplify right side
    343.05x = 173,297.71
  5. Step 5: Solve for x
    x = 173,297.71/343.05
  6. Step 6: Final answer
    x = 505.17

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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.