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Finding the Fourth Proportional to 345.08, 520.02 and 312.59

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Solution

The fourth proportional to 345.08, 520.02 and 312.59 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.08 : 520.02 = 312.59 : x
  2. Step 2: Convert to fraction form
    345.08/520.02 = 312.59/x
  3. Step 3: Cross multiply
    345.08x = 520.02 × 312.59
  4. Step 4: Simplify right side
    345.08x = 162,554.35
  5. Step 5: Solve for x
    x = 162,554.35/345.08
  6. Step 6: Final answer
    x = 471.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.