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Finding the Fourth Proportional to 436.22, 601.35 and 304.82

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Solution

The fourth proportional to 436.22, 601.35 and 304.82 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.22 : 601.35 = 304.82 : x
  2. Step 2: Convert to fraction form
    436.22/601.35 = 304.82/x
  3. Step 3: Cross multiply
    436.22x = 601.35 × 304.82
  4. Step 4: Simplify right side
    436.22x = 183,303.51
  5. Step 5: Solve for x
    x = 183,303.51/436.22
  6. Step 6: Final answer
    x = 420.21

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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.