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Finding the Fourth Proportional to 399.16, 545.77 and 384.04

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Solution

The fourth proportional to 399.16, 545.77 and 384.04 is: 525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.16 : 545.77 = 384.04 : x
  2. Step 2: Convert to fraction form
    399.16/545.77 = 384.04/x
  3. Step 3: Cross multiply
    399.16x = 545.77 × 384.04
  4. Step 4: Simplify right side
    399.16x = 209,597.51
  5. Step 5: Solve for x
    x = 209,597.51/399.16
  6. Step 6: Final answer
    x = 525.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.