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Finding the Fourth Proportional to 421.70, 630.03 and 348.98

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Solution

The fourth proportional to 421.70, 630.03 and 348.98 is: 521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.70 : 630.03 = 348.98 : x
  2. Step 2: Convert to fraction form
    421.70/630.03 = 348.98/x
  3. Step 3: Cross multiply
    421.70x = 630.03 × 348.98
  4. Step 4: Simplify right side
    421.70x = 219,866.12
  5. Step 5: Solve for x
    x = 219,866.12/421.70
  6. Step 6: Final answer
    x = 521.38

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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.