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Finding the Fourth Proportional to 530.12, 730.92 and 368.01

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Solution

The fourth proportional to 530.12, 730.92 and 368.01 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.12 : 730.92 = 368.01 : x
  2. Step 2: Convert to fraction form
    530.12/730.92 = 368.01/x
  3. Step 3: Cross multiply
    530.12x = 730.92 × 368.01
  4. Step 4: Simplify right side
    530.12x = 268,985.87
  5. Step 5: Solve for x
    x = 268,985.87/530.12
  6. Step 6: Final answer
    x = 507.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.