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Finding the Fourth Proportional to 530.54, 732.16 and 309.45

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Solution

The fourth proportional to 530.54, 732.16 and 309.45 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.54 : 732.16 = 309.45 : x
  2. Step 2: Convert to fraction form
    530.54/732.16 = 309.45/x
  3. Step 3: Cross multiply
    530.54x = 732.16 × 309.45
  4. Step 4: Simplify right side
    530.54x = 226,565.36
  5. Step 5: Solve for x
    x = 226,565.36/530.54
  6. Step 6: Final answer
    x = 427.05

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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.