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Finding the Fourth Proportional to 357.66, 533.57 and 347.74

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Solution

The fourth proportional to 357.66, 533.57 and 347.74 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 533.57 = 347.74 : x
  2. Step 2: Convert to fraction form
    357.66/533.57 = 347.74/x
  3. Step 3: Cross multiply
    357.66x = 533.57 × 347.74
  4. Step 4: Simplify right side
    357.66x = 185,543.63
  5. Step 5: Solve for x
    x = 185,543.63/357.66
  6. Step 6: Final answer
    x = 518.77

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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.