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Finding the Fourth Proportional to 349.50, 521.53 and 313.06

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Solution

The fourth proportional to 349.50, 521.53 and 313.06 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 521.53 = 313.06 : x
  2. Step 2: Convert to fraction form
    349.50/521.53 = 313.06/x
  3. Step 3: Cross multiply
    349.50x = 521.53 × 313.06
  4. Step 4: Simplify right side
    349.50x = 163,270.18
  5. Step 5: Solve for x
    x = 163,270.18/349.50
  6. Step 6: Final answer
    x = 467.15

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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.