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Finding the Fourth Proportional to 420.31, 633.58 and 348.63

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Solution

The fourth proportional to 420.31, 633.58 and 348.63 is: 525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.31 : 633.58 = 348.63 : x
  2. Step 2: Convert to fraction form
    420.31/633.58 = 348.63/x
  3. Step 3: Cross multiply
    420.31x = 633.58 × 348.63
  4. Step 4: Simplify right side
    420.31x = 220,881.83
  5. Step 5: Solve for x
    x = 220,881.83/420.31
  6. Step 6: Final answer
    x = 525.52

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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.