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Finding the Fourth Proportional to 345.51, 515.40 and 319.68

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Solution

The fourth proportional to 345.51, 515.40 and 319.68 is: 476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.51 : 515.40 = 319.68 : x
  2. Step 2: Convert to fraction form
    345.51/515.40 = 319.68/x
  3. Step 3: Cross multiply
    345.51x = 515.40 × 319.68
  4. Step 4: Simplify right side
    345.51x = 164,763.07
  5. Step 5: Solve for x
    x = 164,763.07/345.51
  6. Step 6: Final answer
    x = 476.87

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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.