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Finding the Fourth Proportional to 348.03, 524.95 and 312.39

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Solution

The fourth proportional to 348.03, 524.95 and 312.39 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.03 : 524.95 = 312.39 : x
  2. Step 2: Convert to fraction form
    348.03/524.95 = 312.39/x
  3. Step 3: Cross multiply
    348.03x = 524.95 × 312.39
  4. Step 4: Simplify right side
    348.03x = 163,988.35
  5. Step 5: Solve for x
    x = 163,988.35/348.03
  6. Step 6: Final answer
    x = 471.19

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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.