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Finding the Fourth Proportional to 403.65, 602.51 and 357.48

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Solution

The fourth proportional to 403.65, 602.51 and 357.48 is: 533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 602.51 = 357.48 : x
  2. Step 2: Convert to fraction form
    403.65/602.51 = 357.48/x
  3. Step 3: Cross multiply
    403.65x = 602.51 × 357.48
  4. Step 4: Simplify right side
    403.65x = 215,383.49
  5. Step 5: Solve for x
    x = 215,383.49/403.65
  6. Step 6: Final answer
    x = 533.59

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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.