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Finding the Fourth Proportional to 436.58, 602.42 and 348.28

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Solution

The fourth proportional to 436.58, 602.42 and 348.28 is: 480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.58 : 602.42 = 348.28 : x
  2. Step 2: Convert to fraction form
    436.58/602.42 = 348.28/x
  3. Step 3: Cross multiply
    436.58x = 602.42 × 348.28
  4. Step 4: Simplify right side
    436.58x = 209,810.84
  5. Step 5: Solve for x
    x = 209,810.84/436.58
  6. Step 6: Final answer
    x = 480.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.