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Finding the Fourth Proportional to 374.16, 558.24 and 355.80

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Solution

The fourth proportional to 374.16, 558.24 and 355.80 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.16 : 558.24 = 355.80 : x
  2. Step 2: Convert to fraction form
    374.16/558.24 = 355.80/x
  3. Step 3: Cross multiply
    374.16x = 558.24 × 355.80
  4. Step 4: Simplify right side
    374.16x = 198,621.79
  5. Step 5: Solve for x
    x = 198,621.79/374.16
  6. Step 6: Final answer
    x = 530.85

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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.