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Finding the Fourth Proportional to 345.47, 515.03 and 318.06

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Solution

The fourth proportional to 345.47, 515.03 and 318.06 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.47 : 515.03 = 318.06 : x
  2. Step 2: Convert to fraction form
    345.47/515.03 = 318.06/x
  3. Step 3: Cross multiply
    345.47x = 515.03 × 318.06
  4. Step 4: Simplify right side
    345.47x = 163,808.85
  5. Step 5: Solve for x
    x = 163,808.85/345.47
  6. Step 6: Final answer
    x = 474.17

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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.