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Finding the Fourth Proportional to 405.54, 604.80 and 357.03

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Solution

The fourth proportional to 405.54, 604.80 and 357.03 is: 532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.54 : 604.80 = 357.03 : x
  2. Step 2: Convert to fraction form
    405.54/604.80 = 357.03/x
  3. Step 3: Cross multiply
    405.54x = 604.80 × 357.03
  4. Step 4: Simplify right side
    405.54x = 215,931.74
  5. Step 5: Solve for x
    x = 215,931.74/405.54
  6. Step 6: Final answer
    x = 532.45

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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.